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For the system shown in Fig. 1 (a) Find the overall impulse response. (b) If haln]...
Find the impulse response of the system shown in Figure 1. Assume that h(n) = h (n) = /1n un) h3(n) = u(n) 11n haln) = (3) "un) mon) - mm hi(n) h2(n) x(n) y(n) ☺ - Helm von h₃ (n) han) Figure 1. The system.
Find the impulse response of the following system if 5. hi (n) 6(n) 35(n- 1) h2(n) 3"u(n) n h3(n) u(n) h4(n) nu(n) hs(n) (n)nu(n- 1)8(n - 2) h4 (n) h2 (n) h2(n) h3(n) h5 (n) Find the impulse response of the following system if 5. h[n] 8[n]-36[n - 1] hz[n] 3"u[n] n uln] ha[n] nuln] h&n] hs[n]-8[n]+nu[n 1]- 8n-2] h&[n] h3[n] hn] h2[n] hs[n]
The diagram in Fig. 1 depicts a cascade connection of two linear time-invariant systems; i.e., the output of the first system is the input to the second system, and the overall output is the output of the second system. LTI System #1 hi[n] LTI System #2 h21n] r[n] iIn] yInl Figure 1: Cascade connection of two LTI systems (a) Suppose that System #l is a blurring filter described by the impulse response 0 "=0.1.2.3.4.5 n>5 and System #2 is described...
3. Impulse Response and Step Response. (25 pts) Consider the following LTI systems: • T1: Has input-output relationship yı(t) = -X1(t – 5) 1<t<4 • T2: Has impulse response hz(t) = { therwise • T3: Has step response s3(t) = -4u(t + 3) • T4: Has step response s4(t) = -tu(t) (a) (5 pts) What is the impulse response hi(t) of system Tj? (b) (10 pts) What is the step response sz(t) of system T2? Write it in terms of...
Problem 3. See the cascaded LTI system given in Fig. 3. w in Figure 3: Cascaded LTI system Let the z-transform of the impulse response of the first block be (z - a)(z -b)(z - c) H1(2) a) Find the impulse response of the first block, hi[n in terms of a, b, c, d. Is this an FIR and IIR system? Explain your reasoning b) Find a, b, c, so that the first block nullifies the input signal c) Let...
A causal LTI system yields the following input output relationship. Find h(t), the impulse response of the system. (Hint: Try first to determine the output when the input is u(t)) a(t) y(t) LTT →t 2 2 Figure 1: An input-output pair
Please solve the following
with full steps.
2. Given the following z-transform of the impulse response h [n], of a causal LTI system Ti H1 (z) = (,-1)(z-0.5) (a) Find hin (b) Verify the first three non-zero values of hi[n] using long division. (c) Find the z transform Hs(z) of hs[n]-2"hi[n], and specify the ROC. (d) Find thez transform H4() of han+n -1], and specify the ROC. e) Find the impulse response, hs[n], of the system Ts, which is the...
4: An LTIC system is specified by the impulse response h() 3sin(rt) shown in Fig. 2. Find the zero state sponse for the input a) xt)-2ut) b)x) 8(-1) h(t) 3sin(t) 1/2 1 Fig. 2
Consider a discrete-time LTI system with impulse response hn on-un-1), where jal < 1. Find the output y[n] of the system to the input x[n] = un +1].
Problem 1 (Marks: 2+1.5+1.5+4) A linear time-invariant system has following impulse response -(よ 0otherwise 1. Determine if the system is stable or not. (Marks: 2) 2. Determine if the system is causal or non-causal. (Marks: 2) 3. Determine if the system is finite impulse response (FIR) or infinite impulse response (IIR). (Marks: 2) 4. If the system has input 2(n) = δ(n)-6(n-1) + δ(n-2), determine output y(n) = h(n)*2(n) for n=-1, 0, 1, 2, 3, 4, 5, 6, (Marks: 4)